Unit 4 Lesson 6 Congruence in Right Triangles
Unit 4 Lesson 6: Congruence in Right Triangles
Lesson Overview
Writing Proofs
What You Will Learn
- proving right triangles to be congruent using the Hypotenuse-Leg Theorem
Overview
In this lesson, you will learn to prove right triangles congruent using the Hypotenuse-Leg Theorem.
Essential Understanding
You can prove that two triangles are congruent without showing that all corresponding parts are congruent. In this lesson, you will prove right triangles congruent by using one pair of right angles, a pair of hypotenuses, and a pair of legs.
Read pages 185-191 in your course textbook by clicking on the textbook icon.
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Additional Resources
Lesson 6: Congruence in Right Triangles
Additional Resources (Congruence in Right Triangles)
Proceed to the Next Page
Prepare for Application
Instructions
You have now studied Congruence in Right Triangles. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Do these activities in your journal.
Activity 1
Given: and are right angles,
1. Prove:
2. Your friend says, 'Suppose you have two right triangles with congruent hypotenuses and one pair of congruent legs. It does not matter which leg in the first triangle is congruent to which leg in the second. The triangles will be congruent.' Is your friend correct? Explain.
Activity 2
Given , is the perpendicular bisector of
Prove:
